English

Supercongruences involving Ap\'ery-like numbers and Bernoulli numbers

Number Theory 2024-05-16 v2

Abstract

We establish supercongruences for two kinds of Ap\'ery-like numbers, which involve Bernoulli numbers and Bernoulli polynomials. Conjectural supercongruences of the same type for another four kinds of Ap\'ery-like numbers are also proposed.

Keywords

Cite

@article{arxiv.2403.19503,
  title  = {Supercongruences involving Ap\'ery-like numbers and Bernoulli numbers},
  author = {Ji-Cai Liu},
  journal= {arXiv preprint arXiv:2403.19503},
  year   = {2024}
}

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10 pages